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Bianchi IX in the GUP approach

Authors
  • Battisti, Marco Valerio
  • Montani, Giovanni
Type
Preprint
Publication Date
Mar 03, 2009
Submission Date
Mar 03, 2009
Identifiers
arXiv ID: 0903.0494
Source
arXiv
License
Unknown
External links

Abstract

The Bianchi IX cosmological model (through Bianchi I and II) is analyzed in the framework of a generalized uncertainty principle. In particular, the anisotropies of the Universe are described by a deformed Heisenberg algebra. Three main results are in order. (i) The Universe can not isotropize because of the deformed Kasner dynamics. (ii) The triangular allowed domain is asymptotically stationary with respect to the particle (Universe) and its bounces against the walls are not interrupted by the deformed effects. (iii) No reflection law can be in obtained since the Bianchi II model is no longer analytically integrable.

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